Limit Evaluation using Rationalizing Technique

00:00 3 marks

Evaluate the limit $\lim_{x \to 4} \frac{\sqrt{x} – 2}{x – 4}$ using a rationalizing technique.

Hint Hint

Hint

Multiply numerator and denominator by the conjugate of the numerator, which is $\sqrt{x}+2$.

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Answer Answer

Complete Answer

The limit is $\frac{1}{4}$.

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